Poincare'-Cartan积分不变量的推广和Dirac猜想  

A Generalization of the Poincare-Cartan Invarian and Dirac's Conjecture

作　　者：李子平[1] 唐太明[2] 

机构地区：[1]北京工业大学六系,北京100022 [2]新疆师范大学数学系,乌鲁木齐830054

出　　处：《数学物理学报（A辑）》1997年第2期192-199,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金;北京市自然科学基金

摘　　要：该文将Poincare－Cartan积分不变量推广到显含时间的高阶微商奇异拉氏量系统，研究了该不变量与正则方程、正则变换之间的联系，讨论了广义Poincare－Cartan积分不变量与Dirac猜想的关系，以一个例子说明，对高阶微商奇异拉氏量系统，Dirac猜想是无效的．We generalize Poincar6-Cartan integral invariant to a system with a singular higher-order Lagrangian which depends on time t explicitly, this invariant connected with thecanonical equations and canonical transformation for the generalized constrained Hamiltoniansystem is studied. The connection between this invariant and Dirac's conjecture is discussed.An example shows that Dirac's conjecture fails for a system with a singular higher-order LagranJian.

关 键 词：高阶微商拉氏量 狄拉克理论 P-C积分不变量 

分 类 号：O412.3[理学—理论物理]